Proposed names for rank-2 temperaments

Here is a list of some names that have been proposed for rank 2 temperaments. The name or names of the temperament is followed by the generator mapping, which represents the number of periods and generators of the temperament for each of the prime intervals (2 3 5 etc.)

See also pergen names.

One period per octave

• father [⟨1 2 2], ⟨0 -1 1]];
  • mother [⟨1 2 2 2], ⟨0 -1 1 2]];
  • father [⟨1 2 2 4], ⟨0 -1 1 -3]];
• mavila [⟨1 2 1], ⟨0 -1 3]];
  • pelogic [⟨1 2 1 1], ⟨0 -1 3 4]];
  • armodue [⟨1 2 1 5], ⟨0 -1 3 -5]];
  • mavila [⟨1 2 1 -2], ⟨0 -1 3 11]];
  • hornbostel [⟨1 2 1 8], ⟨0 -1 3 -12]];
• meantone [⟨1 2 4], ⟨0 -1 -4]];
  • dominant [⟨1 2 4 2], ⟨0 -1 -4 2]];
    • arnold [⟨1 2 4 2 3], ⟨0 -1 -4 2 1]];
    • dominant [⟨1 2 4 2 1], ⟨0 -1 -4 2 6]];
    • domineering [⟨1 2 4 2 6], ⟨0 -1 -4 2 -6]];
      • dominatrix [⟨1 2 4 2 6 5], ⟨0 -1 -4 2 -6 -3]];
  • sharptone [⟨1 2 4 4], ⟨0 -1 -4 -3]];
    • meanertone [⟨1 2 4 4 3], ⟨0 -1 -4 -3 1]];
  • flattone [⟨1 2 4 -1], ⟨0 -1 -4 9]];
    • flattone [⟨1 2 4 -1 6], ⟨0 -1 -4 9 -6]];
  • meantone [⟨1 2 4 7], ⟨0 -1 -4 -10]];
    • meanenneadecal [⟨1 2 4 7 6], ⟨0 -1 -4 -10 -6]];
    • meanpop [⟨1 2 4 7 -2], ⟨0 -1 -4 -10 13]];
    • meantone [⟨1 2 4 7 11], ⟨0 -1 -4 -10 -18]];
• avila [⟨1 1 -1], ⟨0 1 6]];
• helmholtz [⟨1 2 -1], ⟨0 -1 8]];
  • schism [⟨1 2 -1 2], ⟨0 -1 8 2]];
  • garibaldi [⟨1 2 -1 -3], ⟨0 -1 8 14]];
    • cassandra [⟨1 2 -1 -3 13], ⟨0 -1 8 14 -23]];
      • cassandra [⟨1 2 -1 -3 13 12], ⟨0 -1 8 14 -23 -20]];
    • andromeda [⟨1 2 -1 -3 -4], ⟨0 -1 8 14 18]];
      • andromeda [⟨1 2 -1 -3 -4 -5], ⟨0 -1 8 14 18 21]];
  • grackle [⟨1 2 -1 -8], ⟨0 -1 8 26]];
  • pontiac, infraschismic [⟨1 2 -1 19], ⟨0 -1 8 -39]];
• superpyth [⟨1 2 6], ⟨0 -1 -9]];
  • superpyth [⟨1 2 6 2], ⟨0 -1 -9 2]];
    • superpyth [⟨1 2 6 2 10], ⟨0 -1 -9 2 -16]];
    • suprapyth [⟨1 2 6 2 1], ⟨0 -1 -9 2 6]];
• quasisuper [⟨1 2 -3 2], ⟨0 -1 13 2]];
• leapday [⟨1 2 11 9 8 7], ⟨0 -1 -21 -15 -11 -8]];
• kwai [⟨1 2 16 14], ⟨0 -1 -33 -27]];
  • kwai [⟨1 2 16 14 -4], ⟨0 -1 -33 -27 18]];
• undecental [⟨1 2 -13 -15], ⟨0 -1 37 43]];
• counterschismic [⟨1 2 21], ⟨0 -1 -45]];
• dicot [⟨1 1 2], ⟨0 2 1]];
  • dicot [⟨1 1 2 2], ⟨0 2 1 3]];
  • sharp [⟨1 1 2 1], ⟨0 2 1 6]];
• mohajira, semififths [⟨1 1 0 6], ⟨0 2 8 -11]];
  • mohajira ⟨1 1 0 6 2], ⟨0 2 8 -11 5]];
  • maqamic [⟨1 1 0 4 2], ⟨0 2 8 -4 5]];
    • maqamic ⟨1 1 0 4 2 4], ⟨0 2 8 -4 5 -1]];
• beatles [⟨1 1 5 4], ⟨0 2 -9 -4]];
• karadeniz [⟨1 1 7 11 2], ⟨0 2 -16 -28 5]];
• hemififths [⟨1 1 -5 -1], ⟨0 2 25 13]];
• bug [⟨1 2 3], ⟨0 -2 -3]];
  • beep [⟨1 2 3 3], ⟨0 -2 -3 -1]];
    • pentoid [⟨1 2 3 3 3], ⟨0 -2 -3 -1 2]];
• superpelog [⟨1 2 1 3], ⟨0 -2 6 -1]];
• godzilla [⟨1 2 4 3], ⟨0 -2 -8 -1]];
• monzismic [⟨1 2 10], ⟨0 -2 -37]];
• gidorah [⟨1 1 2 3], ⟨0 3 2 -1]];
• enipucrop [⟨1 2 2], ⟨0 -3 2]];
• penta [⟨1 1 2 2], ⟨0 3 2 4]];
• laconic [⟨1 1 1], ⟨0 3 7]];
  • gorgo [⟨1 1 1 3], ⟨0 3 7 -1]];
    • gorgo [⟨1 1 1 3 1], ⟨0 3 7 -1 13]];
      • gorgo [⟨1 1 1 3 1 2], ⟨0 3 7 -1 13 9]];
    • spartan [⟨1 1 1 3 5], ⟨0 3 7 -1 -8]];
• pycnic [⟨1 3 -1 8], ⟨0 -3 7 -11]];
• mothra, cynder [⟨1 1 0 3], ⟨0 3 12 -1]];
  • mothra, cynder [⟨1 1 0 3 5], ⟨0 3 12 -1 -8]];
• rodan [⟨1 1 -1 3], ⟨0 3 17 -1]];
  • rodan [⟨1 1 -1 3 6], ⟨0 3 17 -1 -13]];
    • rodan [⟨1 1 -1 3 6 8], ⟨0 3 17 -1 -13 -22]];
    • aerodactyl [⟨1 1 -1 3 6 -1], ⟨0 3 17 -1 -13 24]];
• guiron [⟨1 1 7 3], ⟨0 3 -24 -1]];
• porcupine [⟨1 2 3], ⟨0 -3 -5]];
  • hystrix [⟨1 2 3 3], ⟨0 -3 -5 -1]];
  • porcupine [⟨1 2 3 2], ⟨0 -3 -5 6]];
    • porcupine [⟨1 2 3 2 4], ⟨0 -3 -5 6 -4]];
  • opossum, pentadecimal [⟨1 2 3 4], ⟨0 -3 -5 -9]];
    • opossum [⟨1 2 3 4 4], ⟨0 -3 -5 -9 -4]];
    • coendou [⟨1 2 3 1 4 3], ⟨0 -3 -5 13 -4 5]];
    • porcupinefish [⟨1 2 3 2 4 6], ⟨0 -3 -5 6 -4 -17]];
• ammonite [⟨1 5 8 10], ⟨0 -9 -15 -19]];
• triton [⟨1 3 -1 -1], ⟨0 -3 7 8]];
• liese, gawel [⟨1 3 8 8], ⟨0 -3 -12 -11]];
• tricot [⟨1 3 16], ⟨0 -3 -29]];
• tetracot [⟨1 1 1], ⟨0 4 9]];
  • monkey [⟨1 1 1 5], ⟨0 4 9 -15]];
  • bunya [⟨1 1 1 -1], ⟨0 4 9 26]];
• vulture [⟨1 0 -6], ⟨0 4 21]];
  • buzzard [⟨1 0 -6 4], ⟨0 4 21 -3]];
    • buzzard [⟨1 0 -6 4 -12 -7], ⟨0 4 21 -3 39 27]];
• sesquiquartififths [⟨1 1 7 5], ⟨0 4 -32 -15]];
• semihemififths [⟨1 1 -5 -1 8], ⟨0 4 50 26 -31]];
• sidi [⟨1 3 3 6], ⟨0 -4 -2 -9]];
• negri [⟨1 2 2], ⟨0 -4 3]];
  • negri [⟨1 2 2 3], ⟨0 -4 3 -2]];
    • negri [⟨1 2 2 3 4], ⟨0 -4 3 -2 -5]];
      • negri [⟨1 2 2 3 4 4], ⟨0 -4 3 -2 -5 -3]];
    • negril [⟨1 2 2 3 2], ⟨0 -4 3 -2 14]];
      • negril [⟨1 2 2 3 2 4], ⟨0 -4 3 -2 14 -3]];
• sentinel [⟨1 3 -3 6], ⟨0 -4 15 -9]];
• squares [⟨1 3 8 6], ⟨0 -4 -16 -9]];
• magic [⟨1 0 2], ⟨0 5 1]];
  • muggles [⟨1 0 2 5], ⟨0 5 1 -7]];
  • magic [⟨1 0 2 -1], ⟨0 5 1 12]];
    • magic [⟨1 0 2 -1 6], ⟨0 5 1 12 -8]];
• passion [⟨1 2 2], ⟨0 -5 4]];
  • passion [⟨1 2 2 2], ⟨0 -5 4 10]];
• ripple [⟨1 2 3], ⟨0 -5 -8]];
  • ripple [⟨1 2 3 3], ⟨0 -5 -8 -2]];
• tritonic [⟨1 4 -3 -3], ⟨0 -5 11 12]];
  • tritonic [⟨1 4 -3 -3 2], ⟨0 -5 11 12 3]];
• amity [⟨1 3 6], ⟨0 -5 -13]];
  • amity [⟨1 3 6 -2], ⟨0 -5 -13 17]];
    • hitchcock, amity [⟨1 3 6 -2 6], ⟨0 -5 -13 17 -9]];
      • hitchcock [⟨1 3 6 -2 6 2], ⟨0 -5 -13 17 -9 6]];
• gravity [⟨1 5 12], ⟨0 -6 -17]];
  • marvo [⟨1 -1 -5 -17], ⟨0 6 17 46]];
• hanson [⟨1 0 1], ⟨0 6 5]];
  • keemun [⟨1 0 1 2], ⟨0 6 5 3]];
    • keemun [⟨1 0 1 2 4], ⟨0 6 5 3 -2]];
  • catakleismic [⟨1 0 1 -3], ⟨0 6 5 22]];
    • catakleismic [⟨1 0 1 -3 9], ⟨0 6 5 22 -21]];
      • catakleismic [⟨1 0 1 -3 9 0], ⟨0 6 5 22 -21 14]];
  • countercata [⟨1 0 1 11], ⟨0 6 5 -31]];
• ampersand [⟨1 1 3], ⟨0 6 -7]];
  • miracle [⟨1 1 3 3], ⟨0 6 -7 -2]];
    • miracle [⟨1 1 3 3 2], ⟨0 6 -7 -2 15]];
• nautilus [⟨1 2 3 3], ⟨0 -6 -10 -3]];
• orson [⟨1 0 3], ⟨0 7 -3]];
  • orwell [⟨1 0 3 1], ⟨0 7 -3 8]];
    • orwell [⟨1 0 3 1 3], ⟨0 7 -3 8 2]];
      • orwell [⟨1 0 3 1 3 8], ⟨0 7 -3 8 2 -19]];
      • blair [⟨1 0 3 1 3 3], ⟨0 7 -3 8 2 3]];
      • winston [⟨1 0 3 1 3 1], ⟨0 7 -3 8 2 12]];
• sensi [⟨1 -1 -1], ⟨0 7 9]];
  • sensi [⟨1 -1 -1 -2], ⟨0 7 9 13]];
    • sensor [⟨1 -1 -1 -2 9], ⟨0 7 9 13 -15]];
      • sensor [⟨1 -1 -1 -2 9 0], ⟨0 7 9 13 -15 10]];
    • sensis [⟨1 6 8 11 6], ⟨0 -7 -9 -13 -4]];
      • sensis [⟨1 6 8 11 6 10], ⟨0 -7 -9 -13 -4 -10]];
    • sensus [⟨1 6 8 11 23], ⟨0 -7 -9 -13 -31]];
      • sensus [⟨1 6 8 11 23 10], ⟨0 -7 -9 -13 -31 -10]];
• roman [⟨1 4 3 -1 0 3], ⟨0 -7 -2 11 10 2]];
• octacot [⟨1 1 1 2], ⟨0 8 18 11]];
• würschmidt [⟨1 -1 2], ⟨0 8 1]];
  • worschmidt [⟨1 -1 2 7], ⟨0 8 1 -13]];
  • wurschmidt [⟨1 -1 2 -3], ⟨0 8 1 18]];
  • whirrschmidt [⟨1 7 3 38], ⟨0 -8 -1 -52]];
• valentine [⟨1 1 2], ⟨0 9 5]];
  • valentine [⟨1 1 2 3], ⟨0 9 5 -3]];
    • valentine [⟨1 1 2 3 3], ⟨0 9 5 -3 7]];
      • valentino [⟨1 1 2 3 3 5], ⟨0 9 5 -3 7 -20]];
      • dwynwen [⟨1 1 2 3 3 2], ⟨0 9 5 -3 7 26]];
      • lupercalia [⟨1 1 2 3 3 3], ⟨0 9 5 -3 7 11]];
• escapade [⟨1 2 2], ⟨0 -9 7]];
  • escapade [⟨1 2 2 3], ⟨0 -9 7 -4]];
  • escaped [⟨1 2 2 4], ⟨0 -9 7 -26]];
• superkleismic [⟨1 4 5 2], ⟨0 -9 -10 3]];
  • superkleismic [⟨1 4 5 2 4], ⟨0 -9 -10 3 -2]];
• mabila [⟨1 6 1], ⟨0 -10 3]];
• myna [⟨1 -1 0 1], ⟨0 10 9 7]];
  • myna [⟨1 -1 0 1 -3], ⟨0 10 9 7 25]];
    • myna [⟨1 -1 0 1 -3 5], ⟨0 10 9 7 25 -5]];
• sycamore [⟨1 1 2], ⟨0 11 6]];
  • sycamore [⟨1 1 2 2], ⟨0 11 6 15]];
• septimin [⟨1 4 1 5], ⟨0 -11 6 -10]];
• nusecond [⟨1 3 4 5], ⟨0 -11 -13 -17]];
• quartonic [⟨1 2 3 3], ⟨0 -11 -18 -5]];
• hemikleismic [⟨1 0 1 4], ⟨0 12 10 -9]];
• clyde [⟨1 6 6 12], ⟨0 -12 -10 -25]];
• bohpier [⟨1 0 0 0], ⟨0 13 19 23]];
• doublethink [⟨1 0 3 1 3 2], ⟨0 14 -6 16 4 15]];
• gammic [⟨1 1 2], ⟨0 20 11]];
  • gammic [⟨1 1 2 0], ⟨0 20 11 96]];
• neptune [⟨1 21 13 13], ⟨0 -40 -22 -21]];
• pluto [⟨1 5 15 15 2], ⟨0 7 26 25 -3]];
• twothirdtonic [⟨1 3 2 4 4], ⟨0 -13 3 -11 -5]];
  • twothirdtonic [⟨1 3 2 4 4 5], ⟨0 -13 3 -11 -5 -12]];
• slender [⟨1 2 2 3], ⟨0 -13 10 -6]];
  • slender [⟨1 2 2 3 4], ⟨0 -13 10 -6 -17]];
• parakleismic [⟨1 5 6], ⟨0 -13 -14]];
  • parakleismic [⟨1 5 6 12], ⟨0 -13 -14 -35]];
• fortune [⟨1 -1 11], ⟨0 14 -47]];
• hemithirds, luna [⟨1 4 2], ⟨0 -15 2]];
  • hemithirds [⟨1 4 2 2], ⟨0 -15 2 5]];
    • hemithirds [⟨1 4 2 2 7], ⟨0 -15 2 5 -22]];
• hemiwürschmidt [⟨1 -1 2 2], ⟨0 16 2 5]];
  • hemiwürschmidt [⟨1 -1 2 2 -3], ⟨0 16 2 5 40]];
• semisept [⟨1 -5 0 -3], ⟨0 17 6 15]];
• vavoom [⟨1 0 4], ⟨0 17 -18]];
• minortone [⟨1 -1 -3], ⟨0 17 35]];
  • mitonic [⟨1 -1 -3 6], ⟨0 17 35 -21]];
• casablanca [⟨1 -7 -4 1], ⟨0 19 14 4]];
  • casablanca [⟨1 -7 -4 1 3], ⟨0 19 14 4 1]];
• tertiaseptal [⟨1 3 2 3], ⟨0 -22 5 -3]];
• grendel, voodoo [⟨1 9 2 7], ⟨0 -23 1 -13]];
• gamera [⟨1 6 10 3], ⟨0 -23 -40 -1]];
• astro [⟨1 5 1], ⟨0 -31 12]];
• semihemiwürschmidt [⟨1 15 4 7 24], ⟨0 -32 -4 -10 -49]];
• whoosh [⟨1 17 14], ⟨0 -33 -25]];
• yarman [⟨1 2 3 4 4], ⟨0 -33 -54 -95 -43]];
• senior [⟨1 11 19], ⟨0 -35 -62]];
• raider [⟨1 -9 -26], ⟨0 37 99]];
• supermajor [⟨1 15 19 30], ⟨0 -37 -46 -75]];
• quasiorwell [⟨1 -7 3 1], ⟨0 38 -3 8]];
• semigamera [⟨1 6 10 3 12], ⟨0 -46 -80 -2 -89]];
• gross [⟨1 -2 4], ⟨0 47 -22]];
• pirate [⟨1 -6 0], ⟨0 49 15]];
• egads [⟨1 15 16], ⟨0 -51 -52]];

Two periods per octave

• srutal [⟨2 3 5], ⟨0 1 -2]];
  • pajara [⟨2 3 5 6], ⟨0 1 -2 -2]];
    • pajaric [⟨2 3 5 6 7], ⟨0 1 -2 -2 0]];
    • pajarous [⟨2 3 5 6 6], ⟨0 1 -2 -2 5]];
    • pajara [⟨2 3 5 6 8], ⟨0 1 -2 -2 -6]];
  • diaschismic [⟨2 3 5 7], ⟨0 1 -2 -8]];
    • diaschismic [⟨2 3 5 7 9 10], ⟨0 1 -2 -8 -12 -15]];
  • keen [⟨2 3 5 4], ⟨0 1 -2 9]];
• supersharp [⟨2 3 4], ⟨0 1 3]];
  • octokaidecal [⟨2 3 4 5], ⟨0 1 3 3]];
• bipelog [⟨2 3 5 6], ⟨0 1 -3 -3]];
• injera [⟨2 3 4 5], ⟨0 1 4 4]];
  • injera [⟨2 3 4 5 6], ⟨0 1 4 4 6]];
• bischismic [⟨2 3 6 9], ⟨0 1 -8 -20]];
• shrutar [⟨2 3 5 5], ⟨0 2 -4 7]];
  • shrutar [⟨2 3 5 5 7], ⟨0 2 -4 7 -1]];
    • srutar [⟨2 3 5 5 7 8], ⟨0 2 -4 7 -1 -7]];
    • shrutar [⟨2 3 5 5 7 6], ⟨0 2 -4 7 -1 16]];
• echidna [⟨2 1 9 2], ⟨0 3 -6 5]];
  • echidna [⟨2 1 9 2 12], ⟨0 3 -6 5 -7]];
• decimal [⟨2 4 5 6], ⟨0 -2 -1 -1]];
• semihemi [⟨2 4 15 11 21], ⟨0 -2 -25 -13 -34]];
• lemba [⟨2 2 5 6], ⟨0 3 -1 -1]];
• hedgehog [⟨2 4 6 7], ⟨0 -3 -5 -5]];
• doublewide [⟨2 5 6], ⟨0 -4 -3]];
  • doublewide [⟨2 5 6 7], ⟨0 -4 -3 -3]];
    • doublewide [⟨2 5 6 7 6], ⟨0 -4 -3 -3 2]];
• sesquiquartififths [⟨2 2 14 10], ⟨0 4 -32 -15]];
• hemiamity [⟨2 1 -1 13 13], ⟨0 5 13 -17 -14]];
• wizard [⟨2 1 5 2], ⟨0 6 -1 10]];
  • wizard [⟨2 1 5 2 8], ⟨0 6 -1 10 -3]];
• unidec [⟨2 5 8 5], ⟨0 -6 -11 2]];
  • unidec [⟨2 5 8 5 6], ⟨0 -6 -11 2 3]];
    • hendec [⟨2 5 8 5 6 8], ⟨0 -6 -11 2 3 -2]];
• harry [⟨2 4 7 7], ⟨0 -6 -17 -10]];
• vishnu [⟨2 4 5], ⟨0 -7 -3]];
  • vishnu [⟨2 4 5 10], ⟨0 -7 -3 -37]];
• kwazy [⟨2 1 6], ⟨0 8 -5]];
  • bisupermajor [⟨2 1 6 1 8], ⟨0 8 -5 17 -4]];
• abigail [⟨2 7 13 -1 1 -2], ⟨0 -11 -24 19 17 27]];
• semiparakleismic [⟨2 -3 -2 -11 -4], ⟨0 13 14 35 23]];
• hemigamera [⟨2 12 20 6 5], ⟨0 -23 -40 -1 5]];

Three periods per octave

• augmented [⟨3 5 7], ⟨0 -1 0]];
  • augene, tripletone [⟨3 5 7 8], ⟨0 -1 0 2]];
    • augene, tripletone [⟨3 5 7 8 10], ⟨0 -1 0 2 2]];
  • august [⟨3 5 7 9], ⟨0 -1 0 -2]];
• misty [⟨3 5 6], ⟨0 -1 4]];
  • misty [⟨3 5 6 6], ⟨0 -1 4 10]];
• term [⟨3 5 5 4], ⟨0 -1 8 18]];
• semiaug [⟨3 5 7 9], ⟨0 -2 0 -5]];
• tritikleismic [⟨3 6 8 8], ⟨0 -6 -5 2]];
• mutt [⟨3 5 7 8], ⟨0 -7 -1 12]];
• ternary [⟨3 5 7 8], ⟨3 5 7 9]];

Four or more periods per octave

• diminished [⟨4 6 9], ⟨0 1 1]];
  • diminished [⟨4 6 9 11], ⟨0 1 1 1]];
    • diminished [⟨4 6 9 11 14], ⟨0 1 1 1 0]];
    • demolished [⟨4 6 9 11 13], ⟨0 1 1 1 3]];
• blackwood [⟨5 8 12], ⟨0 0 -1]];
  • blacksmith [⟨5 8 12 14], ⟨0 0 -1 0]];
• hexe [⟨6 10 14 17], ⟨0 -1 0 0]];
• jamesbond [⟨7 11 16 20], ⟨0 0 0 -1]];
  • jamesbond [⟨7 11 16 20 24], ⟨0 0 0 -1 0]];
• whitewood [⟨7 11 16], ⟨0 0 1]];
• octoid [⟨8 13 19 23 28], ⟨0 -3 -4 -5 -3]];
• ennealimmal [⟨9 15 22], ⟨0 -2 -3]];
  • ennealimmal [⟨9 15 22 26], ⟨0 -2 -3 -2]];
    • ennealimmal [⟨9 15 22 26 37], ⟨0 -2 -3 -2 -16]];
• decoid [⟨10 0 47 36], ⟨0 2 -3 -1]];
  • decoid [⟨10 0 47 36 98], ⟨0 2 -3 -1 -8]];
    • decoid [⟨10 0 47 36 98 37], ⟨0 2 -3 -1 -8 0]];
• hendecatonic [⟨11 17 26 30], ⟨0 1 -1 2]];
• catler [⟨12 19 28 34], ⟨0 0 0 -1]];
• compton [⟨12 19 28], ⟨0 0 -1]];
  • compton, waage [⟨12 19 28 34], ⟨0 0 -1 -2]];
    • compton, duodecimal [⟨12 19 28 34 42], ⟨0 0 -1 -2 -3]];
• duodecim [⟨12 19 28 34 42], ⟨0 0 0 0 -1]];
• atomic [⟨12 19 28], ⟨0 1 -7]];
• hemiennealimmal [⟨18 28 41 50 62], ⟨0 2 3 2 1]];
• enneadecal [⟨19 30 44], ⟨0 1 1]];
  • enneadecal [⟨19 30 44 53], ⟨0 1 1 3]];
• undevigintone [⟨19 30 44 53 66], ⟨0 0 0 0 -1]];
• icosidillic [⟨22 35 51 62 76], ⟨0 -1 1 -2 1]];
• vigintiduo [⟨22 35 51 62 76], ⟨0 0 0 0 1]];
• mystery [⟨29 46 67 81 100 107], ⟨0 0 1 1 1 1]];
• hemienneadecal [⟨38 60 88 106 131], ⟨0 1 1 3 2]];